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- W2951483087 abstract "Given (M, g0) we consider the problem -{epsilon}^2Delta_{g0+h}u + u = (u+)^{p-1} with ({epsilon}, h) in (0, {epsilon}0) times B{rho}. Here B{rho} is a ball centered at 0 with radius {rho} in the Banach space of all Ck symmetric covariant 2-tensors on M. Using the Poincar'e polynomial of M, we give an estimate on the number of nonconstant solutions with low energy for ({epsilon}, h) belonging to a residual subset of (0, {epsilon}0) times B{rho}, for ({epsilon}0, {rho}) small enough." @default.
- W2951483087 created "2019-06-27" @default.
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- W2951483087 date "2010-12-27" @default.
- W2951483087 modified "2023-09-27" @default.
- W2951483087 title "Positive solutions for singularly perturbed nonlinear elliptic problem on manifolds via Morse theory" @default.
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